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Finding the Fourth Proportional to 3,932.58, 5,893.38 and 3,004.50

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Solution

The fourth proportional to 3,932.58, 5,893.38 and 3,004.50 is: 4,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.58 : 5,893.38 = 3,004.50 : x
  2. Step 2: Convert to fraction form
    3,932.58/5,893.38 = 3,004.50/x
  3. Step 3: Cross multiply
    3,932.58x = 5,893.38 × 3,004.50
  4. Step 4: Simplify right side
    3,932.58x = 17,706,660.21
  5. Step 5: Solve for x
    x = 17,706,660.21/3,932.58
  6. Step 6: Final answer
    x = 4,502.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.